Diffraction of Random Noble Means Words

Abstract

In this paper, several aspects of the random noble means substitution are studied. Beyond important dynamical facets as the frequency of subwords and the computation of the topological entropy, the important issue of ergodicity is addressed. From the geometrical point of view, we outline a suitable cut and project setting for associated point sets and present results for the spectral analysis of the diffraction measure.

17 pages, 6 figures

References in corpus (1)

• On the Entropy of a Two Step Random Fibonacci Substitution

Cited by in corpus (6)

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• Inflation word entropy for semi-compatible random substitutions
• Substitution-based structures with absolutely continuous spectrum
• Eberlein decomposition for PV inflation systems
• A classification of intrinsic ergodicity for recognisable random substitution systems
• Rauzy fractals of random substitutions